Question

The ratio of areas within the electron orbits for the first excited state to the ground state for hydrogen atom is

• A. 16 : 1
• B. 18 : 1
• C. 4 : 1
• D. 2 : 1

Answer 1

The correct option is A 16 : 1

For a hydrogen atom
Radius $r\propto n^2\Rightarrow \frac{r_1^2}{r_2^2}=\frac{n_1^4}{n_2^4}\Rightarrow \frac{\pi r_1^2}{\pi r_2^2}=\frac{n_1^4}{n_2^4}\Rightarrow \frac{A_1}{A_2}=\frac{n_1^4}{n_2^4}=\frac{2^4}{1^4}=16\Rightarrow \frac{A_1}{A_2}=\frac{16}{1}$